融合与统一:情报的数学原理OACHSSCD

[Purpose/Significance]Integrating insights from domestic and international scholars to explore the mathe-matical principles of information science,propose a unified definition of information,and provide innovative pathways to address three fundamental challenges:definition,measurement,and evaluation of information.[Method/Process]Refining the Brookes equation by transforming its quasi-mathematical structure into an"information-knowledge"interaction mathe-matical model,validating the model's rationality through empirical data including academic papers,social media data,and environmental data,deriving the intelligence equation,and proposing a corresponding definition of intelligence.This definition revealed the mathematical principles underlying intelligence attributes such as decision orientation,timeliness,emergence,subjectivity,foresight,and transmissibility,while enhancing the explanatory power of intelligence generation and evolution within the"IK"and"DIKW"framework.[Result/Conclusion]Applying mathematical principles to unify the definition of intelligence,this research proposes a narrow definition—"knowledge growth rate relative to information"—and a broad definition—"change rate in DIKW hierarchy".